Discrete Euler integration over functions on finite categories

作者：Tanaka Kohei^*

来源：Topology and Its Applications, 2016, 204: 185-197.

DOI：10.1016/j.topol.2016.03.012

• Euler integration
• Euler characteristic
• Finite categories
• Sensor networks

This paper provides the theory of integration with respect to Euler characteristics of finite categories. As an application, we use sensors to enumerate the targets lying on a poset. This is a discrete analogue to Baryshnikov and Ghrist's work on integral theory using topological Euler characteristics.

• 出版日期2016-5-15